System of Particles & Rotatory Motion
Telangana Open School (TOSS) · Class 12 · Physics
Quick revision notes for System of Particles & Rotatory Motion — Telangana Open School (TOSS) Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Rigid Body and Centre of Mass
- A rigid body is an ideal object where the distance between any two particles remains constant during motion.
- Centre of mass (CM) is the point where the entire mass of a system appears to be concentrated.
- The CM moves as if all external forces act directly on it, simplifying motion analysis.
Rotational Motion and Moment of Inertia
- Rotational motion involves all particles moving in concentric circular paths around an axis.
- Moment of inertia (I) is rotational analogue of mass in linear motion.
- I depends on mass distribution and axis of rotation.
Torque, Angular Momentum and Conservation
- Torque is rotational analogue of force; causes angular acceleration.
- Torque = r × F; magnitude is rF sinθ.
- Angular momentum (L) is rotational analogue of linear momentum.
Combined Translational and Rotational Motion
- Rolling motion combines translation of CM and rotation about CM.
- For pure rolling without slipping, v = Rω and a = Rα.
- Total kinetic energy = translational KE + rotational KE.
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